Bilic was pleased with the performance of Calleri for West Ham against Everton in the Premier League last weekend.
The 23-year-old striker started the game at the London Stadium and played for 62 minutes, as it ended in a goalless draw.
The performance of the Argentine, currently on loan from Deportivo Maldonado, impressed Bilic.
“Up front it is realistic to say that Jonathan Calleri would not have started if Andy Carroll, Diafra Sakho or Michail Antonio had been fit but I was delighted for him against Everton,” Bilic wrote in The London Evening Standard.
“He’s good to have around, he’s a very honest player and one of the reasons why we were so composed because he gives everything.”
Calleri has scored one goal and created three chances in 12 Premier League appearances for west Ham so far this season.
Bilic has also spoken highly of Havard Nordtveit, who is 26 years of age and can operate as a defensive midfielder or as a defender.
“Havard Nordtveit was also good for us, as was Arthur Masuaku, who unfortunately picked up a knock and could be doubtful,” Bilic wrote in The London Evening Standard.
“Havard has been in his No1 position in midfield on a few occasions this season but not as much as we had anticipated because he has had to play elsewhere due to injuries to other players and also because Pedro Obiang has had such a good season. However, he showed if you believe in yourself and keep working hard your situation can change.”
Norway international midfielder Havard has created three chances in 13 Premier League matches for West Ham so far this campaign.
West Ham are 14th in the Premier League table at the moment with 38 points from 34 matches, as many as seven points above the relegation zone.
The Hammers will return to action on Saturday afternoon when they take on Stoke City away from home at the bet365 Stadium in the league.
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